The German club have refused to meet the Blues' valuation of the 26-year-old Portugal full-back, but Rummenigge has not ruled out a renewed bid.

"We are convinced about Bosingwa and that he would fit in really well at FC Bayern,'' he told Sport Bild magazine. "I don't think the book has been closed on this issue yet.''

Rummenigge added that he remains in "serious contact with Chelsea'' regarding the former Porto player, who has a contract with the London club until 2011.

Bosingwa has been earmarked as the man to take the right-back position which has never been adequately filled since Willy Sagnol started suffering from an Achilles tendon problem that brought a premature end to his career last season.

Owen Hargreaves and Hasan Salihamidzic were both tried in the role but have both since moved on to new clubs.

Christian Lell and Massimo Oddo also failed to impress there last term, making the signing of a tried-and-tested full-back the priority for new Bayern coach Louis van Gaal.